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Finding the Third Proportional to 23,877 and 35,807

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Solution

The third proportional to 23,877 and 35,807 is: 53,697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,877 : 35,807 = 35,807 : x
  2. Step 2: Convert to fraction form
    23,877/35,807 = 35,807/x
  3. Step 3: Cross multiply
    23,877x = 35,807 × 35,807
  4. Step 4: Simplify right side
    23,877x = 1,282,141,249
  5. Step 5: Solve for x
    x = 1,282,141,249/23,877
  6. Step 6: Final answer
    x = 53,697.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.